Abstract
We develop a unified approach for classification and regression support vector machines for when the responses are subject to right censoring. We provide finite sample bounds on the generalization error of the algorithm, prove risk consistency for a wide class of probability measures, and study the associated learning rates. We apply the general methodology to estimation of the (truncated) mean, median, quantiles, and for classification problems. We present a simulation study that demonstrates the performance of the proposed approach.
Original language | English |
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Pages (from-to) | 532-569 |
Number of pages | 38 |
Journal | Electronic Journal of Statistics |
Volume | 11 |
Issue number | 1 |
DOIs | |
State | Published - 2017 |
Keywords
- Generalization error
- Misspecification models
- Right censored data
- Support vector regression
- Universal consistency
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty